共查询到18条相似文献,搜索用时 281 毫秒
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关于~*-mixing随机变量序列的强大数定律 总被引:1,自引:0,他引:1
利用任意随机变量序列的强大数定律讨论 * -mixing随机变量序列的强大数定律 ,得到了该序列的一个强极限定理 ,推广了经典的 * mixing随机变量序列的强大数定律 .同时讨论了 m相依序列和独立随机变量序列的强大数定律 . 相似文献
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强大数定律的若干新结果 总被引:12,自引:0,他引:12
本文利用Hajek-Renyi型最大值不等式,获得了随机变量和的强大数定律和 收敛速度.作为应用,给出了某些相依随机变量和新的强大数定律. 相似文献
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设{Xn,n≥1)是(p)混合序列.利用随机变量的板尾方法和(p)混合序列的三级数定理这一工具研究了(p)混合序列的性质.得到了矩条件下(p)混合序列的一类强极限定理和强大数定律.并给出了一些简单应用.推广了若干经典的强大数定律. 相似文献
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研究了一类适应随机变量序列的局部收敛性,推广了文献[1]中的结论.并在假定部分和序列为极限鞅时,得到了极限鞅的强极限定理.最后给出了*-mixing序列的强大数定律. 相似文献
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混合序列部分和的强大数定律 总被引:1,自引:0,他引:1
设{Xn,n≥1)是ρ^-混合序列.利用随机变量的截尾方法和ρ^-混合序列的三级数定理这一工具研究了ρ^-混合序列的性质。得到了矩条件下ρ^-混合序列的—类强极限定理和强大数定律。并给出了一些简单应用。推广了若干经典的强大数定律. 相似文献
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兰冲锋 《数学年刊A辑(中文版)》2015,36(4):401-410
在非同分布的情况下,给出了行为ND随机变量阵列加权和的完全收敛性的充分条件,所得结果部分地推广了独立随机变量和NA随机变量的相应结果.作为其应用,获得了ND随机变量序列加权和的Marcinkiewicz-Zygmund型强大数定律. 相似文献
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This note is devoted to introduce a new concept of conditionally dominated random variables.Under suitable restrict conditions,a general strong law of large numbers for arbitrary continuous random variables is obtained. 相似文献
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In this article, the complete convergence for sequences of asymptotically almost negatively associated (AANA) random variables is studied. As applications, the Baum–Katz-type theorem, Hsu–Robbins-type theorem and Marcinkiewicz–Zygmund strong law of large numbers for sequences of AANA random variables are obtained. 相似文献
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??Examining the conditions of positively or negatively associated
sequences of random variables obeying the strong law of large numbers provided by
Alexander, the sequences of Gaussian random variables, nonnegative and uniformly bounded
sequences of random variables with general dependent structure were studied, and the
sufficient conditions for they obeying the strong law of large numbers were given. At
last, an example for Gaussian sequence satisfying the strong law of large numbers was
given. 相似文献
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A limit of a sequence of fuzzy numbers is defined and its some properties are shown. Based on these concept and properties, an independent sequence of fuzzy random variables is considered and a strong law of large numbers for fuzzy random variables is shown. 相似文献
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B. L. S. Prakasa Rao 《Annals of the Institute of Statistical Mathematics》2009,61(2):441-460
Some properties of conditionally independent random variables are studied. Conditional versions of generalized Borel-Cantelli
lemma, generalized Kolmogorov’s inequality and generalized Hájek-Rényi inequality are proved. As applications, a conditional
version of the strong law of large numbers for conditionally independent random variables and a conditional version of the
Kolmogorov’s strong law of large numbers for conditionally independent random variables with identical conditional distributions
are obtained. The notions of conditional strong mixing and conditional association for a sequence of random variables are
introduced. Some covariance inequalities and a central limit theorem for such sequences are mentioned. 相似文献
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In this paper, by the three series theorem of m-negatively associated(m-NA,in short) random variables and the truncation method of random variables, we mainly investigated the strong convergence properties for partial sums of m-NA random variables.In addition, the Khintchine-Kolmogorov convergence theorem and Kolmogorov-type strong law of large numbers for m-NA random variables are also obtained. The results obtained in the paper generalize some corresponding ones for independent random variables and some dependent random variables. 相似文献
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本文研究了NA随机变量的Egorov型强大数律.利用NA随机变量的概率不等式,得到了NA随机变量序列的Egorov型强大数律的一些等价条件,所获结果推广和改进了在独立随机变量序列的Egorov的结果和在NA随机变量序列已有的一些结果. 相似文献
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Convergence properties for arrays of rowwise φ-mixing random variables are studied. As an application, the Chung-type strong law of large numbers for arrays of rowwise φ-mixing random variables is obtained. Our results extend the corresponding ones for independent random variables to the case of φ-mixing random variables. 相似文献